The generator matrix

 1  0  1  1  1  4  1  1  6  1  1  4 10  1  1  1  1  4  1  6  1  1  1 14  1 10  1  1  1  1  1  1  2  1  1 14  2  1 12 10  1  2  4  1  1  1  2  1  1  8  0  1  1  1
 0  1  1  0  3  1  5  4  1  8  3  1  1 10 15  2 13  1 11  1  2 13 14  1 11  1  7  2 14  5 12 11 14 10  1  1  1  7  1  1  3  1  2  8  0 13  6 15  7  2  1 10  9  0
 0  0  2  0  0  0  2 10  6  2  8 14  0  8  2 10  4  2 14 12  2  4 12 14  6 10  4  8 12  8 14  4  2 14 14  6  2  6  6  8 10 10 14  2  0  0  2  2 10 12 12 12 10  0
 0  0  0  2  0  2  2  8 14 14  6  4  6 14 10  6  2  6  8 12  0  8  0 12  6  2  8  0  6 10  2  6  8  4  8  0  4  2 10 12 12  6  6  4  6 14  4  8  4  6  6 12  8  8
 0  0  0  0  8  0  0  8  8  8  8  8  0  0  0  8  8  8  0  0  0  0  8  8  8  0  0  8  8  0  0  0  8  8  0  0  0  8  8  8  0  0  0  8  0  0  0  8  8  8  8  0  0  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  8  8  8  0  8  0  8  8  8  0  8  8  0  8  0  0  0  8  0  8  0  8  8  0  8  0  8  0  0  8  0

generates a code of length 54 over Z16 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+106x^46+368x^47+944x^48+1726x^49+3216x^50+4434x^51+7632x^52+8990x^53+10538x^54+9234x^55+7698x^56+4668x^57+3127x^58+1364x^59+842x^60+338x^61+157x^62+82x^63+29x^64+18x^65+5x^66+6x^67+6x^68+4x^69+3x^70

The gray image is a code over GF(2) with n=432, k=16 and d=184.
This code was found by Heurico 1.16 in 38.1 seconds.